On Caputo type sequential fractional differential equations with nonlocal integral boundary conditions

被引：44
|
作者：
Alsaedi, Ahmed [1 ]
Ntouyas, Sotiris K. [1 ,2 ]
Agarwal, Ravi P. [1 ,3 ]
Ahmad, Bashir [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
[3] Texas A&I Univ, Dept Math, Kingsville, TX 78363 USA
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2015年
关键词：
fractional differential equations; sequential fractional derivative; integral boundary conditions; fixed point theorems; INITIAL-VALUE PROBLEMS; POSITIVE SOLUTIONS; INTEGRODIFFERENTIAL EQUATIONS; EXISTENCE; SPACE;
D O I：
10.1186/s13662-015-0379-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates a boundary value problem of Caputo type sequential fractional differential equations supplemented with nonlocal Riemann-Liouville fractional integral boundary conditions. Some existence results for the given problem are obtained via standard tools of fixed point theory and are well illustrated with the aid of examples. Some special cases are also presented.
引用
收藏
页码：1 / 12
页数：12
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